In Problems 1–8, express the relationship between f′ ( x ) and f ( x ) in words, and write a differential equation that f ( x ) satisfies. For example, the derivative of f ( x ) = e 3 x is 3 times f ( x ); y ′ = 3y. ( If necessary, review Section 3.4 ). 5. f ( x ) = 3.2 e x 2
In Problems 1–8, express the relationship between f′ ( x ) and f ( x ) in words, and write a differential equation that f ( x ) satisfies. For example, the derivative of f ( x ) = e 3 x is 3 times f ( x ); y ′ = 3y. ( If necessary, review Section 3.4 ). 5. f ( x ) = 3.2 e x 2
Solution Summary: The author explains that the relationship between fprime '(x)' and
In Problems 1–8, express the relationship between f′(x) and f(x) in words, and write a differential equation that f(x) satisfies. For example, the derivative of f(x) = e3xis 3 times f(x);y′ = 3y. (If necessary, review Section 3.4).
A simple random sample of 40 items resulted in a sample mean of 25. The population standard deviation is 5.
a. What is the standard error of the mean (to 2 decimals)?
b. At 95% confidence, what is the margin of error (to 2 decimals)?
mean trough level of the population to be 3.7 micrograms/mL. The researcher conducts a study among 93 newly diagnosed arthritis patients and finds the mean trough to be 4.1 micrograms/mL with a standard deviation of 2.4 micrograms/mL. The researcher wants to test at the 5% level of significance if the trough is different than previously reported or not. Z statistics will be used.
Complete Step 5 of hypothesis testing: Conclusion. State whether or not you would reject the null hypothesis and why. Also interpret what this means (i.e. is the mean trough different from 3.7 or no
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